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Interpolation property in semigroups. (English) Zbl 0425.20055

MSC:

20M99 Semigroups
20M14 Commutative semigroups
20M15 Mappings of semigroups

Citations:

Zbl 0136.022
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References:

[1] BOKUT’,L.A.:Some embedding theorems for rings and semigroups, I (in Russian), Sib.Mat.J. 4 (1963), 500–518. · Zbl 0136.02204
[2] CHEHATA,C.G.:An algebraically simple ordered group, Proc. London Math.Soc. 2 (1952), 183–197. · Zbl 0046.02501 · doi:10.1112/plms/s3-2.1.183
[3] CLIFFORD,A.H. – Preston, G.B.:The algebraic theory of semigroups, Volume I,(1964), Amer.Math.Soc.Math. Surveys.
[4] FUCHS,L.:Partially ordered algebraic systems, Pergamon Press, 1963. · Zbl 0137.02001
[5] HIGMAN,G. –NEUMANN,B.H. –NEUMANN,H.:Embedding theorems for groups, J. London Math.Soc. 24 (1949), 247–254. · Zbl 0034.30101 · doi:10.1112/jlms/s1-24.4.247
[6] JECH, T.J.:Lectures in set theory with particular emphasis on the method of forcing, Lecture Notes in Math. 217. Springer Verlag, 1971. · Zbl 0236.02048
[7] KAISER,H.K.:Über lokal polynomvollständige universelle Algebren, Abh.Math.Sem.Univ.Hamburg 43 (1975), 158–165. · Zbl 0308.08002 · doi:10.1007/BF02995945
[8] KAISER, H.K.,:Contributions to the theory of polynomially complete algebras, An.Acad.Brasil. Ci. 48 (1976), 1–5. · Zbl 0355.08001
[9] MARKI,L.:Über einige Vollständigkeitsbegriffe in Halbgruppen und Gruppen, Acta Math.Acad.Sci. Hung. 26 (1975), 343–346. · Zbl 0324.08007 · doi:10.1007/BF01902342
[10] MÁRKI,L.: Problem 8,Proc. of the Colloquium on Semigroup Theory (Szeged, 1976), Colloq.Math.Soc.J.Bolyai, 20, North Holland (to appear).
[11] ŠUTOV, E.G.:Embedding of semigroups into simple and complete semigroups, (in Russian), Math.Sb. 62 (1963), 496–511.
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